According to the theorem, it is possible to expand the power ( x + y )< sup > n </ sup > into a sum involving terms of the form ax < sup > b </ sup > y < sup > c </ sup >, where the exponents b and c are nonnegative integers with, and the coefficient a of each term is a specific positive integer depending on n and b. When an exponent is zero, the corresponding power is usually omitted from the term.

When b is zero and A ≠ 0 the origin is an equilibrium ( or singular ) point of the flow, that is, if x < sub > 0 </ sub > = 0, then the orbit remains there.

" Linda " b / w " When I Learn How to Cry " ( Liberty 55531 )-BB No. 28, CB No. 26-( JB )

" Sidewalk Surfin '" b / w " When It's Over " ( Liberty 55727 )-BB No. 25, CB No. 28-( JB )

When integrated over the radius, this implies that for b = 1, the total number of stars is proportional to r < sup > 2 </ sup >.

To see this, the three corresponding normal vectors of the corner's perpendicular sides can be considered to form a basis ( a rectangular coordinate system ) ( x, y, z ) in which to represent the direction of an arbitrary incoming ray, b, c. When the ray reflects from the first side, say x, the ray's x component, a, is reversed to-a while the y and z components are unchanged, resulting in a direction of b, c. Similarly, when reflected from side y and finally from side z, the b and c components are reversed.

Exponentiation is a mathematical operation, written as b < sup > n </ sup >, involving two numbers, the base b and the exponent ( or index or power ) n. When n is a positive integer, exponentiation corresponds to repeated multiplication ; in other words, a product of n factors, each of which is equal to b ( the product itself can also be called power ):

* Finale at JFK Stadium: a ) Bob Dylan, Keith Richards and Ronnie Wood – " Ballad of Hollis Brown ", " When the Ship Comes In ", Blowin ' In The Wind " ( JFK 03: 39 ), b ) USA for Africa ( led by Lionel Richie ) – " We Are the World " ( JFK 3: 55 )

When there is sufficient sunlight for it to feed by phototrophy, it uses chloroplasts containing the pigments Chlorophyll a and Chlorophyll b to produce sugars by photosynthesis.

From 2. 30pm on December 22, 1955 Burke made his first recordings for Apollo Records, six songs, in their studios at 457 West 45th Street, Manhattan, debuting with his own song " Christmas Presents " b / w " When I'm All Alone " ( Apollo 485 ), which debuted on DEcember 24, 1955 and became a minor hit.

This dust is then transported inward past the orbit of Epsilon Eridani b. When collisions between the dust grains are taken into account, the dust will reproduce the observed infrared spectrum and brightness.

When the coefficients a, b, and c, are real or complex, the roots are

If there exist one or more eigenvalues, then if the corresponding b < sub > i </ sub > ≠ 0, it is a paraboloid ( either elliptic or hyperbolic ); if the corresponding, the dimension i degenerates and does not get into play, and the geometric meaning will be determined by other eigenvalues and other components of b. When it is a paraboloid, whether it is elliptic or hyperbolic is determined by whether all other non-zero eigenvalues are of the same sign: if they are, then it is elliptic ; otherwise, it is hyperbolic.

b. When did the person come to the United States to stay?

b. When did this person come the United States to stay?

When he died without sons in 1898 the viscounty became extinct, but the barony descended to his brother Debonnaire John ( 1830 – 1900 ), whose son Augustus Debonnaire John ( b. 1868 ) became 9th Baron Monson in 1900.

When the emitter surface is clean, this FEM image is characteristic of: ( a ) the material from which the emitter is made: ( b ) the orientation of the material relative to the needle / wire axis ; and ( c ) to some extent, the shape of the emitter endform.

When there are only two means to compare, the t-test and the ANOVA F-test are equivalent ; the relation between ANOVA and t is given by F = t < sup > 2 </ sup >.

When the ball becomes out of play, play is restarted by one of eight | deadurl = no

When the functions J < sub > n </ sub >( x ) are plotted on the same graph, though, none of the zeros seem to coincide for different values of n except for the zero at x = 0.

When the critical stress, F < sub > cr </ sub > ( F < sub > cr </ sub > =

When moving from a denser medium into a less dense one ( i. e., n < sub > 1 </ sub > > n < sub > 2 </ sub >), above an incidence angle known as the critical angle, all light is reflected and R < sub > s </ sub > = R < sub > p </ sub > = 1.

When this is stored using the IEEE 754 encoding, this becomes the significand s with e = 1 ( where s is assumed to have a binary point to the right of the first bit ) after a left-adjustment ( or normalization ) during which leading or trailing zeros are truncated should there be any.

When another examination was passed, and the other Adepts consented, the Aspirant attained the Grade of Adeptus Minor ( 5 = 6 ).

When n = 0, does not have zero elements ; rather, it is isomorphic to, since.

When Robinson met McDowell later in a restaurant, she quipped, " with enemies like McDowell | archivedate = 15 February 2008

When the speed of the runner is equal to the initial jet velocity, the torque is zero ( i. e. when u = V < sub > i </ sub >, then T = 0 ).

When well-regulated mechanical clocks became widespread in the early 19th century ,| publisher = Canonical Ltd.

When n = 3 the Cauchy – Schwarz inequality can also be deduced from Lagrange's identity, which takes the form

When acoustic ( calibrated microphone ) measurements are being referred to, then the units used will be dB SPL ( sound pressure level ) referenced to 20 micropascals = 0 dB SPL.

When groove spacing is less than half the wavelength of light, the only present order is the m = 0 order.

When power gain is calculated using voltage instead of power, making the substitution ( P = V < sup > 2 </ sup >/ R ), the formula is:

When D = 1, it means that the acknowledgement has end to end significance and must take place only after the remote DTE has acknowledged receipt of the data.

When D = 0, the network is permitted ( but not required ) to acknowledge before the remote DTE has acknowledged or even received the data.

Let ( S, f ) be a game with n players, where S < sub > i </ sub > is the strategy set for player i, S = S < sub > 1 </ sub > × S < sub > 2 </ sub > ... × S < sub > n </ sub > is the set of strategy profiles and f =( f < sub > 1 </ sub >( x ), ..., f < sub > n </ sub >( x )) is the payoff function for x S. Let x < sub > i </ sub > be a strategy profile of player i and x < sub >- i </ sub > be a strategy profile of all players except for player i. When each player i < nowiki >

When gametes first fuse at fertilisation, the chromosomes donated by the parents are combined, and, in humans, this means that ( 2²² ) ² = 17. 6x10 < sup > 12 </ sup > chromosomally different zygotes are possible for the non-sex chromosomes, even assuming no chromosomal crossover.

When divided by 2 < sup > n </ sup >, the nth row of Pascal's triangle becomes the binomial distribution in the symmetric case where p = 1 / 2.

When Af for each i, we shall have Af, because the operator Af will then be 0 on the range of Af.

When three dice are tossed repeatedly, what is the probability that the number of aces is 0 ( or 1, or 2, or 3 )??

The island of Sal receives an average of 0. 0mm in May, When the rain come, if it comes, can be very strong.

When U and V are two independent normally distributed random variables with expected value 0 and variance 1, then the ratio U / V has the standard Cauchy distribution.

When Newton's method is used to find the solution for the maximum likelihood estimate, the middle 24 % order statistics can be used as an initial solution for x < sub > 0 </ sub >.

When the eigenvalues of J are not in the unit circle, the dynamics near the fixed point x < sub > 0 </ sub > of F is called hyperbolic and when the eigenvalues are on the unit circle and complex, the dynamics is called elliptic.

When the eccentricity is 0 the foci coincide with the center point and the figure is a circle.

When n > 0, it can be shown that

When Freenet 0. 5 ( FCon or Freenet Classic Opennet ) forked into Freenet 0. 7, most users moved to Freenet 0. 7.

When that interval is 0. 5 / T, the applicable reconstruction formula is the Whittaker – Shannon interpolation formula.

When the World Cup began, Banks was in goal as England got through their group containing Uruguay, Mexico and France, drawing 0 – 0 with the former and clinching 2 – 0 victories over the latter.

When considered over a countable language, the completeness and compactness theorems are equivalent to each other and equivalent to a weak form of choice known as weak König's lemma, with the equivalence provable in RCA < sub > 0 </ sub > ( a second-order variant of Peano arithmetic restricted to induction over Σ < sup > 0 </ sup >< sub style =" margin-left :- 0. 6em "> 1 </ sub > formulas ).

When people are asked to make up a random-looking sequence of coin tosses, they tend to make sequences where the proportion of heads to tails stays closer to 0. 5 in any short segment than would be predicted by chance ( insensitivity to sample size ); Kahneman and Tversky interpret this to mean that people believe short sequences of random events should be representative of longer ones.

When inspired air contains CO levels as low as 0. 02 %, headache and nausea occur ; if the CO concentration is increased to 0. 1 %, unconsciousness will follow.